Question
Solve the equation
Solve for x
x=75540225
Alternative Form
x≈2.001783
Evaluate
900=x4(2x×14)
Remove the parentheses
900=x4×2x×14
Multiply
More Steps

Evaluate
x4×2x×14
Multiply the terms with the same base by adding their exponents
x4+1×2×14
Add the numbers
x5×2×14
Multiply the terms
x5×28
Use the commutative property to reorder the terms
28x5
900=28x5
Swap the sides of the equation
28x5=900
Divide both sides
2828x5=28900
Divide the numbers
x5=28900
Cancel out the common factor 4
x5=7225
Take the 5-th root on both sides of the equation
5x5=57225
Calculate
x=57225
Solution
More Steps

Evaluate
57225
To take a root of a fraction,take the root of the numerator and denominator separately
575225
Multiply by the Conjugate
57×5745225×574
Simplify
57×5745225×52401
Multiply the numbers
More Steps

Evaluate
5225×52401
The product of roots with the same index is equal to the root of the product
5225×2401
Calculate the product
5540225
57×5745540225
Multiply the numbers
More Steps

Evaluate
57×574
The product of roots with the same index is equal to the root of the product
57×74
Calculate the product
575
Reduce the index of the radical and exponent with 5
7
75540225
x=75540225
Alternative Form
x≈2.001783
Show Solution
